SA-SUPPLEMENT SUBMODULES

Durgan Y.

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, cilt.58, sa.1, ss.147-161, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 58 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.4134/bkms.b200128
  • Dergi Adı: BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.147-161
  • Anahtar Kelimeler: Proper class of short exact sequences, sa-supplement submodule, sa-supplementing modules, semiartinian modules, MODULES
  • Çukurova Üniversitesi Adresli: Evet

Özet

In this paper, we introduced and studied sa-supplement submodules. A submodule U of a module V is called an sa-supplement submodule in V if there exists a submodule T of V such that V = T +U and U boolean AND T is semiartinian. The class of sa-supplement sequences SAS is a proper class which is generated by socle-free modules injectively. We studied modules that have an sa-supplement in every extension, modules whose all submodules are sa-supplement and modules whose all sasupplement submodules are direct summand. We provided new characterizations of right semiartinian rings and right SSI rings.